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Finding the Fourth Proportional to 312.28, 468.43 and 183.94

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Solution

The fourth proportional to 312.28, 468.43 and 183.94 is: 275.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.28 : 468.43 = 183.94 : x
  2. Step 2: Convert to fraction form
    312.28/468.43 = 183.94/x
  3. Step 3: Cross multiply
    312.28x = 468.43 × 183.94
  4. Step 4: Simplify right side
    312.28x = 86,161.38
  5. Step 5: Solve for x
    x = 86,161.38/312.28
  6. Step 6: Final answer
    x = 275.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.